Questions: Unit Rates for Ratios with Fractions, Part 1= Instruction - Level 6 4) Henry bought 8/6 pound of roasted almonds for 5. He wants to know the price per pound. What is the price per pound? 4) per 1 lb 5/(5/8)=5 ÷ 5/6

Unit Rates for Ratios with Fractions, Part 1= Instruction - Level 6
4) Henry bought 8/6 pound of roasted almonds for 5. He wants to know the price per pound.

What is the price per pound?
4) per 1 lb

5/(5/8)=5 ÷ 5/6

Transcript text: Unit Rates for Ratios with Fractions, Part 1= Instruction - Level 6 4) Henry bought $\frac{8}{6}$ pound of roasted almonds for $\$ 5$. He wants to know the price per pound. What is the price per pound? 4) $\$$ $\square$ per 1 lb \[ \frac{5}{\frac{5}{8}}=5 \div \frac{5}{6} \]

Solution

Solution Steps

Step 1: Set up the problem

We are given that $\frac{5}{6}$ pound of almonds costs $5. We want to find the price per pound, which means we want to find the cost for 1 pound. We can set up a proportion:

$\frac{5}{6}$ pound : $5 = 1 pound : x

Step 2: Solve for x

To solve for x, we can cross-multiply:

$(\frac{5}{6}) * x = 5 * 1$

$\frac{5}{6}x = 5$

Now, multiply both sides by $\frac{6}{5}$:

$x = 5 * \frac{6}{5}$

$x = 6$